Steady fronts solutions of semilinear elliptic equations in exterior domains arising in flame propagation

DOI10.1007/S10231-005-0154-8zbMath1232.35062OpenAlexW2022676056MaRDI QIDQ661077

Grégory Sagon

Publication date: 18 February 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-005-0154-8

zbMATH Keywords

singular perturbationscombustionreaction-diffusion

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Combustion (80A25) Chemically reacting flows (80A32) Free boundary problems for PDEs (35R35)

Cites Work

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• Multi-dimensional travelling-wave solutions of a flame propagation model
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Asymptotic study of one-step chemistry for premixed flames in outer domains of \({\mathbb R}^N\).
• Existence and uniqueness for a free boundary problem arising in combustion theory.
• Travelling fronts in cylinders
• Bifurcations of travelling waves in the thermo-diffusive model for flame propagation
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Qualitative properties of a nonlinear system for laminar flames without ignition temperature
• On the method of moving planes and the sliding method
• Theory of Laminar Flames

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